If (sqrt{50} – Ksqrt{8} = frac{2}{sqrt{2}}), find K

Correct Answer: Option D

Explanation

(sqrt{50} – Ksqrt{8} = frac{2}{sqrt{2}})
(sqrt{50} – frac{2}{sqrt{2}}) = K(sqrt{8})
= (sqrt{2} times 25 – frac{2}{sqrt{2}})
= K (sqrt{4 times 2})
(frac{5sqrt{2}}{1} – frac{2}{sqrt{2}}) = 2K(sqrt{2})
(frac{5sqrt{4} – 2}{sqrt{2}} = 2Ksqrt{2})
(frac{10 – 2}{sqrt{2}} = 2K sqrt{2})
(frac{8}{sqrt{2}} = frac{2Ksqrt{2}}{1})
= 2k(sqrt{2} times sqrt{2}) = 8
2k (sqrt{4}) = 8
2k x 2 = 8
4k = 8
k = (frac{8}{4})
k = 2